9165075456 has 176 divisors, whose sum is σ = 25107159168. Its totient is φ = 2971238400.

The previous prime is 9165075431. The next prime is 9165075461. The reversal of 9165075456 is 6545705619.

It is a super-2 number, since 2×9165075456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29469541 + ... + 29469851.

Almost surely, 2^9165075456 is an apocalyptic number.

9165075456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9165075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553579584).

9165075456 is an abundant number, since it is smaller than the sum of its proper divisors (15942083712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9165075456 is a wasteful number, since it uses less digits than its factorization.

9165075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The square root of 9165075456 is about 95734.4005882943. The cubic root of 9165075456 is about 2092.7242890809.

The spelling of 9165075456 in words is "nine billion, one hundred sixty-five million, seventy-five thousand, four hundred fifty-six".